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Finding the Fourth Proportional to 331,564.70, 497,694.93 and 293,855.36

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Solution

The fourth proportional to 331,564.70, 497,694.93 and 293,855.36 is: 441,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,564.70 : 497,694.93 = 293,855.36 : x
  2. Step 2: Convert to fraction form
    331,564.70/497,694.93 = 293,855.36/x
  3. Step 3: Cross multiply
    331,564.70x = 497,694.93 × 293,855.36
  4. Step 4: Simplify right side
    331,564.70x = 146,250,321,587.71
  5. Step 5: Solve for x
    x = 146,250,321,587.71/331,564.70
  6. Step 6: Final answer
    x = 441,091.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.